# Applied Numerical Methods Using Matlab by Won Young Yang, Wenwu Cao, Tae-Sang Chung, John Morris By Won Young Yang, Wenwu Cao, Tae-Sang Chung, John Morris

In recent times, with the creation of recent media items, there was a shift within the use of programming languages from FORTRAN or C to MATLAB for imposing numerical tools. This publication uses the robust MATLAB software program to prevent advanced derivations, and to coach the elemental suggestions utilizing the software program to resolve useful difficulties. through the years, many textbooks were written almost about numerical equipment. in accordance with their direction event, the authors use a simpler process and hyperlink each approach to genuine engineering and/or technology difficulties. the most profit is that engineers don't need to be aware of the mathematical conception so that it will practice the numerical tools for fixing their real-life problems.
An Instructor's guide providing targeted strategies to all of the difficulties within the publication is accessible on-line.

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This implies that it is safe from the “loss of signiﬁcance” to compute the root having the larger absolute value ﬁrst and then obtain the other root by using the relation (between the roots and the coefﬁcients) x1 x2 = c/a. 18) It is safe to use f1 (x) for x ≈ π since the term (1 + cos x) in f2 (x) is a ‘bad subtraction’, while it is safe to use f2 (x) for x ≈ 0 since the term (1 − cos x) in f1 (x) is a ‘bad subtraction’. m” to conﬁrm this. Below is the running result. This implies that we might use some formulas to avoid a ‘bad subtraction’.

2]) function ez_plot1(ftn,bounds,p) if nargin < 2, bounds = [-1 1]; end b1 = bounds(1); b2 = bounds(2); t = b1+[0:100]/100*(b2 - b1); if nargin <= 2, x = feval(ftn,t); else x = feval(ftn,t,p); end plot(t,x) function ez_plot(ftn,bounds,varargin) if nargin < 2, bounds = [-1 1]; end b1 = bounds(1); b2 = bounds(2); t = b1 + [0:100]/100*(b2 - b1); x = feval(ftn,t,varargin{:}); plot(t,x) 46 MATLAB USAGE AND COMPUTATIONAL ERRORS Now, let us see the routine “ez_plot()”, which does the same plotting job as “ez_plot1()”.

5) and dividing the result by the scale factor σ (which can be seen in dx = dy/σ ) so that the integral of the density function over the whole interval (−∞, +∞) amounts to 1. 7) 2πσ For practice, we make a vector consisting of 1000 standard Gaussian numbers, transform it to make a vector of numbers having normal distribution N (1,1/4), with mean m = 1 and variance σ 2 = 1/4, and then draw the histograms for the two Gaussian number vectors (Fig. 7c,d). 9 Flow Control 1. if-end and switch-case-end Statements An if-end block basically consists of an if statement, a sequel part, and an end statement categorizing the block.